The expression 4^{3}+8-\dfrac{9}{y4} can be broken down into different components:
1. 4^{3}: This part represents 4 cubed, which is equal to 4 x 4 x 4 = 64.
2. +8: This is simply the addition of 8 to the previous result, which is 64 + 8 = 72.
3. -\dfrac{9}{y4}:
Here, we have a subtraction and a fraction.
It's important to note that there might be a typo in the expression, and it should perhaps be written as \(\dfrac{9}{y}4\), which would mean 9 divided by y and then multiplied by 4.
If that's the case, the result depends on the value of y.
The expression demonstrates the use of exponentiation, addition, subtraction, and fractions, making it a comprehensive example of various mathematical operations.
In summary, the expression 4^{3}+8-\dfrac{9}{y4} showcases the use of exponentiation, addition, and subtraction, along with a fraction.
It's important to clarify whether the fraction should be interpreted as \(\dfrac{9}{y}4\) or \(\dfrac{9}{y4}\) to determine its exact mathematical meaning and result.
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Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.
A 12 foot ladder is placed 4 foot from the bottom of the house. How high will the ladder reach the house?
Answer:
11.31 ft
Step-by-step explanation:
Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.
Let the ladder reaches x ft height of the house.
Hence, by Pythagoras theorem:
[tex] {12}^{2} = {4}^{2} + {x}^{2} \\ 144 = 16 + {x}^{2} \\ {x}^{2} = 144 - 16 \\ {x}^{2} = 128 \\ x = \sqrt{128} \\ x = 11.3137085 \\ x = 11.31 \: ft[/tex]
Hence, the ladder reaches 11.31 ft height of the house.
What is the mean price for the sneakers?
Answer:
38
Step-by-step explanation:
You need to add all of numbers together and then divide by the total number of numbers.
Which number line shows the solution set for |8 - 2p| = 6
A) Number Line 1
B) Number Line 2
C) Number Line 3
D) Number Line 4
Answer:
B) And D)
Step-by-step explanation:
8-2x1 = 6
Option B number line shows the solution set for |8 - 2p| = 6
What is number line?A number line is a pictorial representation of numbers on a straight line. It can be used to represent any real number that includes every whole number and natural number. Arithmetic operations of numbers can be better explained on a number line.
According to the question the given expression is |8 - 2p| = 6
Here the value of "p" is unknown. We have to assume a number and equate it to 6.
Let "p" be ±2, On applying ±2 in the set |8 - 2(±2)| =0
so not ±2
Now assume ±1, On applying ±1 in the set |8 - 2(±1)| =6
Value ±1 is shown in the 2nd number line.
Thus the correct option is B
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Need Help What is l9l
Answer:
the absolute value of l9l is 9
Step-by-step explanation:
because if you look on a number line when you are calculating the absolute value it is how many numbers away from zero so it is always positive.
Answer: +9
Step-by-step explanation: When an integer is written with vertical bars on either side, it means that we take the absolute value of that integer.
The absolute value of an integer is its
distance from zero on a number line.
|9| is +9 because it's 9 units from zero on the number line.
Which expression is a factor of x2 – 9x + 14?
A not factorable
B (x + 2)(x - 7)
C (x-2)(x + 7)
D (x-2)(x - 7)
Answer:
x² - 9x + 14 = (x - 2)(x - 7)
The correct answer is D.
The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?
Answer:
17
Step-by-step explanation:
$15+$27=$42
$712 divided by $42 is 17 meaning there are 17 kids in the class.
The difference in their ages is 12 and the sum of their ages is 50. Find the age of each. Jim is older than Ken.
Answer:
REMA = 31
KEN = 19
Step-by-step explanation:
Let R be Rema
Let K be Ken
R+K = 50
R-K= 12
R-12= K
R+ R-12= 50
2R= 50+12
2R= 62
R= 31
R- 12= K
31-12= K
19= K
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
2x^2−5x+1=0
Enter your answers in the boxes.
x =
or x =
The solutions to the quadratic equation are x= 0.22 and x= -0.22.
The given quadratic formula is 2x²-5x+1=0.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
Here, x= [5± √(25 - 4×2×1)]/2×2
x= [5± √(25 - 8)]/4
x= (5± √17)/4
x= (5± 4.12)/4
x= 0.88/4 and x= -0.88/4
x= 0.22 and x= -0.22
Therefore, the solutions to the quadratic equation are x= 0.22 and x= -0.22.
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Mia has a rectangle shaped brownie brownie. She cuts the brownie into 3 equal pieces.Which sentence is true? The whole brownie is 1/3. The whole brownie is 3/3. The whole brownie is 2/3. The whole brownie is 3/2.
Answer:
The whole brownie is 3/3
Step-by-step explanation:
She cut it into 3 equal pieces out of the whole brownie so it would be 3/3
What is the surface area of the triangular prism?
square feet ___
Answer: 168 because (9 × 6) + (9 × 5) + (9 × 5) + (6 × 4 × 0.5) + (6 × 4 × 0.5) equals 168 :) good day humans
An adult takes 400mg of vitamin c. Each hour, the amount of vitamin c in the person’s system decreases by about 29%. How much vitamin c is left after 6 hours?
Answer:
1
Step-by-step explanation:
Answer:
51.24 mg
Step-by-step explanation:
400 x (0.71^6) = 51.24
Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6
Answer:
-6 is the slope
Step-by-step explanation:
y = −6x + 5
This is of the form
y = mx+b where m is the slope and b is the y intercept
-6 is the slope and 5 is the y intercept
Find the slope of the line that goes through the points (-3, -4) and (0, -1).
A. LaTeX: \frac{4}{3}4 3
B. -1
C. LaTeX: \frac{3}{4}3 4
D. 1
Answer:
D
Step-by-step explanation:
The slope is the change in y-coordinates divided by the change in x-coordinates.
Here, the y-coordinates are -4 and -1, and the x-coordinates are -3 and 0, so:
slope = m = (-4 - (-1)) / (-3 - 0) = -3 / -3 = 1
The slope is thus 1, so the answer is D.
We can use the points (-3, -4) and (0, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-(-4)/0-(-3)
= 3/3
= 1 (Option D)
Best of Luck!
Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.
What type of function is represented?
exponential
quadratic
linear
logarithmic
Answer:
quadratic
Step-by-step explanation:
i just took it on edge
Answer:
Step-by-step explanation:
if there are 10 apples in the fridge and 7 on the table what is the ratio of apples in the fridge to apples on the table
Answer:
The correct answer would be 10 : 7
( OPINION ) I say this because we are comparing the apples in the fridge(10) to the apples on the table(7).
I hope this was helpful :3
STAY SAFE!! :)
The ratio of apples in the fridge to apples on the table is 10:7. This is calculated by dividing the number of apples in the fridge by the number on the table.
Explanation:The question asks for the ratio of apples in the fridge to the apples on the table. In order to solve this, you need to understand what a ratio is. A ratio is a way of comparing quantities. Here, the quantity being compared is apples: those in the fridge versus those on the table.
To calculate the ratio, you simply divide the first quantity by the second quantity. So in this case, you have 10 apples in the fridge and 7 apples on the table.
The ratio is therefore 10/7. This can also be written as 10:7.
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Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
5 units.
Step-by-step explanation:
For this problem, you will need to use the distance formula. The distance formula is as shown:
d= [tex]\sqrt{({x_{2}-x_{1})^{2}+({y_{2}-y_{1})^{2} }[/tex]
We can plug in the points which would result in:
d= [tex]\sqrt{({-4-0)^{2}+(-3-0)^{2} }[/tex]
When solved:
d= [tex]\sqrt{25}[/tex]
d= 5 units
What is the simplified form of this expression? (8x − 7) + (-2x − 9) − (4x − 3) A. 2x – 13 B. 2x − 19 C. 2x − 5 D. 2x + 1
Answer:
A. 2x-13
Step-by-step explanation:
Find the length of arc AB. leave your answers in terms of pi
Answer:
arc AB = 60°
Step-by-step explanation:
The diameter splits the circle into two semi circles.
in the semicircle above the diameter, you can do 180° - 120° = 60°
so arc AB = 60°
( I'm sorry; I'm not sure how to get the answer in terms of pi. )
Compare the period of y = 2x with the period of y= sin x
Final answer:
The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.
Explanation:
The period of a function is the length of the interval over which it repeats.
The function y = 2x is a linear function, not a periodic function, and thus does not have a period.
In contrast, the function y = sin x is a periodic function and has a period of 2π radians.
This means that the sine function repeats its values every 2π radians.
Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.
I need help ASAP!!!!
Answer:
A
Step-by-step explanation:
1/1-2/5
i need help please for this picture
Answer:
3,500
Step-by-step explanation:
i dont know the answer please help me
What does (3x-1)^2 equal?
Look at the attached picture ⤴
Hope it will help u ....
A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25%
Answer:
75%
Step-by-step explanation:
20+55=75
so 75/100 or 75%
hope this helped! :)
Answer:
it's 75%
Step-by-step explanation:
What is the solution of the system of equations shown in the graph below?
A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? You must show all work to receive credit.
Answer:
47 inches.
I hope this helped!! :3
Edit- to find the height of a rectangular prism with a known volume, use the formula
V= AH.
3995= lwH
3995= 85h
If you don’t have the area, multiply the width and the length of one side to get that value.
Find how many six-digit numbers can be formed from the digits 2, 3, 4, 5, 6 and 7 (with repetitions), if:
the numbers formed must be divisible by 25
or
the odd digits must occupy even positions (i.e. 2nd, 4th, and 6th) and the even digits must occupy odd positions (i.e. 1st, 3rd and 5th)
Answer:
case 1 = 2592
case 2 = 729
case 1 + case 2 = 2916
(this is not a direct adition, because case 1 and case 2 have some shared elements)
Step-by-step explanation:
Case 1)
6 digits numbers that can be divided by 25.
For the first four positions, we can use any of the 6 given numbers.
For the last two positions, we have that the only numbers that can be divided by 25 are numbers that end in 25, 50, 75 or 100.
The only two that we can create with the numbers given are 25 and 75.
So for the fifth position we have 2 options, 2 or 7,
and for the last position we have only one option, 5.
Then the total number of combinations is:
C = 6*6*6*6*2*1 = 2592
case 2)
The even numbers are 2,4 and 6
the odd numbers are 3, 5 and 7.
For the even positions we can only use odd numbers, we have 3 even positions and 3 odd numbers, so the combinations are:
3*3*3
For the odd positions we can only use even numbers, we have 3 even numbers, so the number of combinations is:
3*3*3
we can put those two togheter and get that the total number of combinations is:
C = 3*3*3*3*3*3 = 3^6 = 729
If we want to calculate the combinations togheter, we need to discard the cases where we use 2 in the fourth position and 5 in the sixt position (because those numbers are already counted in case 1) so we have 2 numbers for the fifth position and 2 numbers for the sixt position
Then the number of combinations is
C = 3*3*3*3*2*2 = 324
Case 1 + case 2 = 324 + 2592 = 2916
a round clock has a radius of 5 cm. what is the approximate area of the clock? use 3.14
Answer:
78.5 cm^2
Step-by-step explanation:
The area of a circle can be found using:
[tex]a=\pi r^2[/tex]
We know that the radius is 5 cm. We also know that we are using 3.14 for pi. Therefore, we can substitute 5 in for r, and 3.14 in for pi.
a=3.14*5^2
Evaluate the exponent
a=3.14*(5*5)
a=3.14*25
Multiply
a=78.5
The area of the clock is 78.5 cm^2
If you were a college professor taking a survey of how many hours of
homework students were assigned, which visual tool would you use if you
organized students in hour ranges?
A. Line plot
B. Bar graph
C. Frequency table
D. None of the above
If I were a college professor taking a survey of how many hours of homework students were assigned and I wanted to organize the data by hour ranges, the visual tool that I would use is C) a frequency table.
Explanation:A frequency table would be the best visual tool to organize students in hour ranges for a survey of how many hours of homework students were assigned.
A frequency table is a way to organize data into different intervals, or ranges, and count how many data points fall into each interval. In this case, I would create intervals such as 0-1 hour, 1-2 hours, 2-3 hours, and so on, and then count the number of students assigned homework in each interval. This would give me a clear picture of the distribution of homework hours among the students. Therefore the correct answer is C) a frequency table.
What is the distance, rounded to the nearest tenth, between the points (-5,3) and (1,-1)? Enter the answer in the box.
units
Final answer:
The distance between the points (-5,3) and (1,-1) is found using the distance formula and is approximately 7.2 units when rounded to the nearest tenth.
Explanation:
To find the distance between two points (-5,3) and (1,-1), we can use the distance formula: √((x2 - x1)² + (y2 - y1)²). Plugging in our values, we get the distance as √((1 - (-5))² + (-1 - 3)²) = √(6² + (-4)²) = √(36 + 16) = √52. To round to the nearest tenth, we calculate √52 and find it is approximately 7.2. Therefore, the distance between the points, rounded to the nearest tenth, is 7.2 units.